Q3:(A) Prove that every group of order 15 is decomposable and normal.(B) Show that (H,.) is a subgroup of (G,.) where H = {2" : n e Z} and G= R-{0}.%3D

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Answered: Q3:(A) Prove that every group of order…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 4E: 4. Prove that the special linear group is a normal subgroup of the general linear group .

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Q3:(A) Prove that every group of order 15 is decomposable and normal. (B) Show that (H,.) is a subgroup of (G,.) where H = {2" : ne Z} and G= R-{0}